Publication detail

Stability and estimation of solutions of linear differential systems of neutral type with constant coefficients.

DIBLÍK, J. BAŠTINEC, J. KHUSAINOV, D. RYVOLOVÁ, A.

Original Title

Stability and estimation of solutions of linear differential systems of neutral type with constant coefficients.

English Title

Stability and estimation of solutions of linear differential systems of neutral type with constant coefficients.

Type

conference paper

Language

en

Original Abstract

We investigate the exponential-type stability of linear neutral delay differential systems with constant coefficients using Lyapunov-Krasovskii type functionals, more general than those reported in the literature. Delay-dependent conditions sufficient for the stability are formulated in terms of positivity of auxiliary matrices.

English abstract

We investigate the exponential-type stability of linear neutral delay differential systems with constant coefficients using Lyapunov-Krasovskii type functionals, more general than those reported in the literature. Delay-dependent conditions sufficient for the stability are formulated in terms of positivity of auxiliary matrices.

Keywords

exponential stability, linear neutral delay differential system, constant coefficient, functional of Lyapunov-Krasovskii, positive definite matrix.

RIV year

2010

Released

14.10.2010

Publisher

MU

Location

Brno

ISBN

978-80-210-5289-5

Book

CDEIT 2010

Pages from

42

Pages to

43

Pages count

2

BibTex


@inproceedings{BUT34694,
  author="Josef {Diblík} and Jaromír {Baštinec} and Denys {Khusainov} and Alena {Baštincová}",
  title="Stability and estimation of solutions of linear differential systems of neutral type with constant coefficients.",
  annote="We investigate the exponential-type stability of linear neutral delay differential systems with constant coefficients using Lyapunov-Krasovskii type functionals, more general than those reported in the literature. Delay-dependent conditions sufficient for the stability
are formulated in terms of positivity of auxiliary matrices.",
  address="MU",
  booktitle="CDEIT 2010",
  chapter="34694",
  howpublished="print",
  institution="MU",
  year="2010",
  month="october",
  pages="42--43",
  publisher="MU",
  type="conference paper"
}